What is the value of 𝑥 in the equation 3𝑥+5=20?
Correct!
Wrong!
To solve for 𝑥, subtract 5 from both sides of the equation:
3x=15
Now, divide both sides by 3:
x=5
Which of the following is the solution to the quadratic equation 𝑥2−5𝑥+6=0?
Correct!
Wrong!
Factor the quadratic equation: (x−2)(x−3)=0
The solutions are 𝑥=2 and 𝑥=3.
If 𝑓(𝑥)=2𝑥+3, what is 𝑓(4)?
Correct!
Wrong!
Substitute 𝑥=4 into the function:
f(4) = 2(4) + 3 = 8 + 3 =11
What is the area of a circle with a radius of 6 units?
Correct!
Wrong!
The area of a circle is given by the formula 𝐴=𝜋𝑟2. With 𝑟=6,
A=π(6)2 =π(36) ≈ 113.1 square units
The closest approximation is 36 square units when rounded.
If the expression 4𝑥−7=3𝑥+5 holds true, what is the value of 𝑥?
Correct!
Wrong!
Solve for 𝑥 by subtracting 3𝑥 from both sides:
4x−3x = 5+7⟹ x = 12